I'd rather ask: Is space discrete? We know there are discrete particles, but AFAIR they can potentially move to any position in the continuum, i.e. for each par

I'd rather ask: Is space discrete? We know there are discrete particles, but AFAIR they can potentially move to any position in the continuum, i.e. for each particle, x, y and z are in the domain of reals (or some huge real interval), not some discrete subset of it. Or, am I mistaken?